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Finding the Third Proportional to 152,015.63 and 351,927

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Solution

The third proportional to 152,015.63 and 351,927 is: 814,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,015.63 : 351,927 = 351,927 : x
  2. Step 2: Convert to fraction form
    152,015.63/351,927 = 351,927/x
  3. Step 3: Cross multiply
    152,015.63x = 351,927 × 351,927
  4. Step 4: Simplify right side
    152,015.63x = 123,852,613,329
  5. Step 5: Solve for x
    x = 123,852,613,329/152,015.63
  6. Step 6: Final answer
    x = 814,736.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.